Gain with Feedback at Mid and High Frequency Calculator

✖The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.ⓘ Mid Band Gain [A_m]			+10% -10%
✖The feedback factor of an op-amp application defines the circuit performance.ⓘ Feedback Factor [β]			+10% -10%
✖Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.ⓘ Complex Frequency Variable [s]			+10% -10%
✖Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.ⓘ Upper 3-dB Frequency [ω_hf]			+10% -10%

✖Gain with feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.ⓘ Gain with Feedback at Mid and High Frequency [A_f]

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Formula

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Gain with Feedback at Mid and High Frequency

Formula

`"A"_{"f"} = ("A"_{"m"}/(1+("A"_{"m"}*"β")))/((1+("s"/"ω"_{"hf"})*(1+("A"_{"m"}*"β"))))`

Example

`"1.179318"=("20.9"/(1+("20.9"*"0.454")))/((1+("2Hz"/"30.417Hz")*(1+("20.9"*"0.454"))))`

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Gain with Feedback at Mid and High Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor))))
A_f = (A_m/(1+(A_m*β)))/((1+(s/ω_hf)*(1+(A_m*β))))
This formula uses 5 Variables

Variables Used

Gain with Feedback - Gain with feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.
Mid Band Gain - The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.
Feedback Factor - The feedback factor of an op-amp application defines the circuit performance.
Complex Frequency Variable - (Measured in Hertz) - Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.
Upper 3-dB Frequency - (Measured in Hertz) - Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.

STEP 1: Convert Input(s) to Base Unit

Mid Band Gain: 20.9 --> No Conversion Required
Feedback Factor: 0.454 --> No Conversion Required
Complex Frequency Variable: 2 Hertz --> 2 Hertz No Conversion Required
Upper 3-dB Frequency: 30.417 Hertz --> 30.417 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_f = (A_m/(1+(A_m*β)))/((1+(s/ω_hf)*(1+(A_m*β)))) --> (20.9/(1+(20.9*0.454)))/((1+(2/30.417)*(1+(20.9*0.454))))

Evaluating ... ...

A_f = 1.1793182802413

STEP 3: Convert Result to Output's Unit

1.1793182802413 --> No Conversion Required

FINAL ANSWER

1.1793182802413 ≈ 1.179318 <-- Gain with Feedback

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 5 BW Extension and Signal Interference Calculators

Gain with Feedback at Mid and High Frequency

Go Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor))))

Gain at Mid and High Frequencies

Go Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))

Signal-to-Interference Ratio at Output

Go Signal to Interference Ratio = (Source Voltage/Voltage Interference)*Gain Factor

Lower 3-DB Frequency in Bandwidth Extension

Go Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))

Upper 3-DB Frequency of Feedback Amplifier

Go Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor)

Gain with Feedback at Mid and High Frequency Formula

What is the effect of negative feedback on an amplifier?

Negative feedback reduces the gain of the amplifier. It also reduces distortion, noise, and instability. This feedback increases bandwidth and improves input and output impedances. Due to these advantages, negative feedback is frequently used in amplifiers.

How to Calculate Gain with Feedback at Mid and High Frequency?

Gain with Feedback at Mid and High Frequency calculator uses Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor)))) to calculate the Gain with Feedback, Gain with Feedback at Mid and High Frequency formula refers to the amplification level of a system, adjusted using feedback mechanisms, specifically targeting the middle and higher ranges of the audible spectrum for precise control and stability. Gain with Feedback is denoted by A_f symbol.

How to calculate Gain with Feedback at Mid and High Frequency using this online calculator? To use this online calculator for Gain with Feedback at Mid and High Frequency, enter Mid Band Gain (A_m), Feedback Factor (β), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf) and hit the calculate button. Here is how the Gain with Feedback at Mid and High Frequency calculation can be explained with given input values -> 1.407838 = (20.9/(1+(20.9*0.454)))/((1+(2/30.417)*(1+(20.9*0.454)))).

FAQ

What is Gain with Feedback at Mid and High Frequency?

Gain with Feedback at Mid and High Frequency formula refers to the amplification level of a system, adjusted using feedback mechanisms, specifically targeting the middle and higher ranges of the audible spectrum for precise control and stability and is represented as A_f = (A_m/(1+(A_m*β)))/((1+(s/ω_hf)*(1+(A_m*β)))) or Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor)))). The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth, The feedback factor of an op-amp application defines the circuit performance, Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave & Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.

How to calculate Gain with Feedback at Mid and High Frequency?

Gain with Feedback at Mid and High Frequency formula refers to the amplification level of a system, adjusted using feedback mechanisms, specifically targeting the middle and higher ranges of the audible spectrum for precise control and stability is calculated using Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor)))). To calculate Gain with Feedback at Mid and High Frequency, you need Mid Band Gain (A_m), Feedback Factor (β), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf). With our tool, you need to enter the respective value for Mid Band Gain, Feedback Factor, Complex Frequency Variable & Upper 3-dB Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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